Regular matchstick graphs on the sphere

Swanepoel, KonradORCID logo (2024) Regular matchstick graphs on the sphere. American Mathematical Monthly. ISSN 0002-9890 (In press)
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We show that the 5-regular matchstick graphs on the sphere are exactly the five 5-regular contact graphs of congruent caps on the sphere found by R. M. Robinson (1969).

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